There are several different synonyms for the phrase "bear blame", each of which can help to convey a slightly different meaning or nuance. Some possibilities might include "carry responsibility", which suggests that someone is taking ownership of the situation and is committed to addressing it. Other options might include "assume blame", which implies a willingness to accept fault or accountability for one's actions, or "shoulder the blame", which suggests a willingness to take on the burden of responsibility even if it is difficult or unpleasant. In any case, choosing the right synonym for "bear blame" can help to convey the appropriate tone and meaning in any situation where accountability is needed.